Addition of specific hip strengthening exercises to conventional rehabilitation therapy for low back pain: a systematic review and meta-analysis

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Addition of specific hip strengthening exercises to conventional rehabilitation therapy for low back pain: a systematic review and meta-analysis
941914
research-article2020
                       CRE0010.1177/0269215520941914Clinical RehabilitationArcanjo et al.

                                                                                                                                                                                        CLINICAL
                                                                               Original Article                                                                                      REHABILITATION

                                                                                                                                                                             Clinical Rehabilitation

                                                                               Addition of specific hip                                                                      1­–10
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                                                                                                                                                                              DOI: 10.1177/0269215520941914
                                                                                                                                                                              https://doi.org/10.1177/0269215520941914

                                                                               conventional rehabilitation                                                                    journals.sagepub.com/home/cre

                                                                               therapy for low back pain: a
                                                                               systematic review and meta-analysis

                                                                               Fabio Luciano Arcanjo de Jesus1,2,
                                                                               Thiago Yukio Fukuda3,4 , Camila Souza2,
                                                                               Janice Guimarães2 , Leticia Aquino4, Gabriel Carvalho4,
                                                                               Christopher Powers5 and Mansueto Gomes-Neto1,2

                                                                               Abstract
                                                                               Objective: To examine the effectiveness of hip strengthening exercises in reducing pain and disability in
                                                                               persons with low back pain.
                                                                               Methods: We searched for randomized controlled clinical trials on MEDLINE, the Physiotherapy Evidence
                                                                               Database, the Cochrane Central Register of Controlled Trials, LILACS, Scielo and CINAHL from the earliest
                                                                               date available to June 2020. Studies that included hip strengthening exercises for persons with low back pain
                                                                               and included pain and/or disability as an outcome measure were evaluated by two independent reviewers.
                                                                               Mean difference (MD), and 95% confidence interval (CI) were estimated by random effect models.
                                                                               Results: Five studies met the eligibility criteria (309 patients). Four studies included hip strengthening
                                                                               in conjunction with other interventions, while one study evaluated hip strengthening as a standalone
                                                                               intervention. Hip strengthening exercises improved pain (MD −5.4 mm, 95% CI: −8.9 to −1.8 mm), and
                                                                               disability (MD −2.9; 95% CI: −5.6 to −0.1) in persons with low back pain compared to interventions in which
                                                                               hip strengthening was not utilized. The quality of evidence for the pain outcome, was assessed as being
                                                                               moderate. The quality of evidence for the outcome of self-reported disability, was assessed as being low.
                                                                               Conclusion: Addition of specific hip strengthening exercises to conventional rehabilitation therapy may
                                                                               be beneficial for improving pain and disability in persons with low back pain.

                                                                               Keywords
                                                                               Spine, exercise, hip, rehabilitation

                                                                               Received: 8 January 2020; accepted: 22 June 2020

                                                                              1                                                                  5
                                                                                 epartment of Physical Therapy, Universidade Federal da
                                                                                D                                                                 Division of Biokinesiology and Physical Therapy, University of
                                                                                Bahia, Salvador, BA, Brazil                                       Southern California, Los Angeles, CA, USA
                                                                              2
                                                                                Postgraduate Program in Medicine and Health, Universidade
                                                                                                                                                 Corresponding author:
                                                                                 Federal da Bahia, Salvador, BA, Brazil
                                                                              3                                                                  Thiago Yukio Fukuda, Instituto Trata, Rua Martinico Prado,
                                                                                 Trata Institute – Knee and Hip Rehabilitation/ITC Vertebral,
                                                                                                                                                 26 cj 141, CEP 01224-010, São Paulo-SP, Brazil.
                                                                                  São Paulo-SP, Brazil
                                                                              4                                                                  Email: tfukuda10@yahoo.com.br
                                                                                  Department of Physical Therapy, Centro Universitário São
                                                                                   Camilo, São Paulo, SP, Brazil
Addition of specific hip strengthening exercises to conventional rehabilitation therapy for low back pain: a systematic review and meta-analysis
2                                                                                  Clinical Rehabilitation 00(0)

Introduction                                             in reducing pain and/or disability in persons with
                                                         low back pain.
The pain and disability related to low back pain
contributes to considerable use of health-care
resources and is the leading indication for physi-       Methods
cal rehabilitation.1 Rehabilitation programmes
                                                         This systematic review was conducted in accord-
involving exercises have been shown to reduce
                                                         ance with Cochrane Collaboration recommenda-
symptoms, disability and improve functional abil-
                                                         tions and reported in accordance with the PRISMA
ity in persons with low back pain.2–4 However,
there is no evidence to support the use of one           guidelines.16
exercise approach over another since the relative            Potential studies were identified by searching
effectiveness of different approaches has been           the following online sources from the earliest date
shown to be comparable.5–7 For example, recent           available to June 2020: Pubmed/MEDLINE, the
systematic reviews evaluating the effectiveness of       Physiotherapy Evidence Database, the Cochrane
trunk muscle exercises concluded that this type of       Central Register of Controlled Trials, LILACS and
programme is generally comparable to other exer-         Scielo database. In addition, we checked the refer-
cises interventions.8,9                                  ence lists of the articles included in this systematic
    Recently, hip muscle strengthening has been          review to identify other potentially eligible studies.
advocated for the management of low back pain.10–12      The search strategies were based on three groups of
The rationale for this approach is that hip muscle       key words: study design, participant/problem and
strength deficits are commonly reported in persons       interventions. The optimally sensitive filter devel-
with low back pain. Moreover, the gluteal muscles        oped by Higgins and Green17 was used to exclude
provide pelvis stability in the frontal plane, which     non-controlled clinical trials in PubMed/
in turn, provides a stable base for the lumbar spine.    MEDLINE. The full search strategy used in in
Evidence in support of this premise is provided by       PubMed/MEDLINE can be found in Electronic
Popovich and Kulig13 and Avman et al.14 Popovich         Supplemental File 1 for independent replication.
and Kulig,13 studied the influence of hip abductor           Studies were eligible if they met the following
strength on pelvis and trunk kinematics during a         criteria: (a) included adult patients (aged ⩾18 years)
single limb landing task and reported that individu-     with nonspecific low back pain as low back pain
als with weaker hip abductors exhibited greater          (>three months duration); (b) a randomized con-
pelvic obliquity in the frontal plane, excessive         trolled clinical trial design; and (c) included com-
trunk motion in the frontal and transverse planes        bined hip strengthening exercises to conventional
and higher activation of the lumbar paravertebral        physical therapy as a primary intervention or in
muscles compared to those with stronger hip              conjunction with other interventions. No restric-
abductors.13                                             tions were made in terms of the sex of the study
    Although a recent systematic review has reported     participants, the duration of exercise intervention,
that persons with low back pain exhibit diminished       publication status or language. For the purposes of
strength of the hip abductors and extensors com-         this systematic review, conventional rehabilitation
pared to persons without low back pain,15 there has      therapy for persons with low back pain was defined
been no systematic review of the literature that has     as use of any physical intervention including exer-
evaluated the effectiveness of hip strengthening         cise therapy, manual therapy, thermotherapy, elec-
exercises in this population. Given the potential role   trotherapy and massage therapy. The primary
of hip strengthening as an intervention for persons      outcomes of interest were self-reported pain and
with low back pain,10,11 the purpose of the current      disability. All outcomes must have been measured
study was to analyze published randomized con-           with a valid and reliable instrument.
trolled clinical trials (RCTs) that have investigated        The titles and abstracts from each data source
the efficacy of addition of specific hip strengthen-     were independently evaluated by two authors
ing exercises to conventional rehabilitation therapy     (C.S.S. and J.G.) in an unblinded standardized
Addition of specific hip strengthening exercises to conventional rehabilitation therapy for low back pain: a systematic review and meta-analysis
Arcanjo et al.                                                                                                3

manner to identify potential studies for review. If at    the random-effects model, regardless of observed
least one of the authors considered a reference eligi-    heterogeneity. Only one comparison was made:
ble, the full text was obtained for complete assess-      addition of specific hip strengthening exercises to
ment. The full texts of the selected studies were         conventional rehabilitation therapy group versus
independently assessed to identify those meeting          conventional rehabilitation therapy interventions
the criteria for inclusion or exclusion. Disagreements    that did not include hip strengthening exercises. An
were discussed by the two reviewers and a final           alpha value of 0.05 was chosen as the threshold for
decision was reached by consensus.                        significance. Heterogeneity of the treatment effect
    The two authors who identified potential studies      was assessed using Cochrane’s Q and the I2 test, in
independently extracted the data from the identified      which values greater than 50% were considered
articles using a standardized process adapted from        indicative of substantial heterogeneity21 being con-
the Cochrane Collaboration.17 Extracted informa-          sidered a criterion for downgrade in item impreci-
tion included: (1) characteristics of the study popu-     sion of GRADE. Due to the low number of included
lation, such as sample size, gender and age; (2)          studies, no asymmetry statistics were included. All
aspects of the intervention performed (exercise           analyses were conducted using Review Manager
type, intensity, the frequency and duration, supervi-     version 5.3.22
sion level); (3) follow-up; (4) drop-outs; (5) out-
come measures; and (6) results.
                                                          Results
    The methodological aspects in the studies
included were scored using the 11-item PEDro              The initial search identified 869 records, of which
scale,18 which is based on the 9-item Delphi List         eight were considered potentially eligible and
developed by Verhagen et al.19 One item on the            retrieved for full-text eligibility assessment. The
PEDro scale (eligibility criteria) is related to exter-   reference list of excluded studies after full-text
nal validity and was not used to calculate the meth-      checking can be found in Electronic Supplemental
odology score, leaving a score range of 0 to 10.18        File 2. Five articles met the eligibility criteria and
The results of individual study were extracted            were included for data extraction.11–13,23,24 Figure 1
directly from the PEDro database.                         highlights the flow of information through the dif-
    We assessed the certainty of evidence and the         ferent phases of the systematic review (PRISMA
strength of recommendations for the outcomes of           flow diagram).
pain and disability using GRADEpro software.20                The number of participants in the five studies
The assessment involved five items: risk of bias,         analyzed ranged from 30 to 90, resulting in a total
imprecision, inconsistency, indirectness and publi-       of 309 patients. The samples of the selected studies
cation bias. Each item was graded as follows: none        consisted of individuals between the ages of 37 to
(no reduction in points), serious (reduction of           56 years. Three studies included individuals of both
1 point) and very serious (reduction of 2 points).        sexes.11,12,23 The remaining studies did not report
The quality of evidence was interpreted as high           sex distribution. Pain was measured by the numeric
quality, moderate quality, low quality or very low        pain rating scale and visual analogue scale. In all
quality.20                                                studies, self-reported disability was assessed by the
                                                          Oswestry disability index. A comprehensive quali-
                                                          tative evaluation of primary data can be found in
Data synthesis and analysis                               Table 1.
Pooled-effect estimates were obtained by compar-              Exercise intervention characteristics for each of
ing the least square mean percentage change from          the studies evaluated are provided in Table 2. The
baseline until the end of the study. This was done        duration of intervention programmes for four out of
for each intervention group and results were              the five studies evaluated was six weeks (one study
expressed as the mean difference (MD) between             did not report programme duration). In general, the
groups. The meta-analysis was performed using             hip exercises were focussed on increasing strength
4                                                                                   Clinical Rehabilitation 00(0)

Figure 1. Eligibility and data-synthesis PRISMA flow diagram.

of the hip flexors, extensors, abductors and adduc-        Pain and disability
tors. All studies indicated that exercises were pro-
gressed throughout the intervention period.                Four out of the five studies assessed pain as an
   Electronic Supplemental File 3 presents results         outcome.11,13,23,24 The total number of patients in
of individual study assessments using the PEDro            the hip strengthening exercise groups that included
scale which were extracted directly from the PEDro         pain as a outcome measure was 113, whereas a
database. The overall PEDro scores are presented           total of 116 patients were included in the conven-
in Table 1. After assessing methodological aspects         tional rehabilitation therapy group. The meta-anal-
and risk of bias with the PEDro scale tool, we found       yses revealed a pooled effect of −4.8 (95% CI: −8.2
that all of the studies used random allocation, and        to −1.3) in pain reduction for the hip strengthening
two studies performed concealed allocation.11,12           exercise group versus conventional rehabilitation
Only Kendall et al.23 blinded the assessors. Patients      therapy group (Figure 2).
and therapists were not blinded in any of the                 All studies evaluated assessed self-reported dis-
studies.                                                   ability as an outcome measure. The total number of
Table 1. Comprehensive qualitative evidence synthesis for hip strengthening exercises on pain and disability.
                                                                                                                                                                             Arcanjo et al.

Study          Sample     Dropouts       Mean age      Diagnosis     Interventions     Outcomes             Adverse      Key findings                                PEDro
               size       (n)            (years)                                                            events
Bade           90         12             46.5          LBP           PTE + HSE         Pain (NPRS)          NR           There was statistical difference in         5
et al.10                                                             vs PTE            Disability (ODI)                  the change in pain and disability
                                                                                                                         between groups (P < 0.05).
                                                                                                                         PTE + HSE group improved pain and
                                                                                                                         disability compared with PTE group
                                                                                                                         (P < 0.05).
Jeong          40         NR             41.2          CLBP          LSE + HSE vs      Disability (ODI)     NR           There was statistical difference            4
et al.11                                                             LSE               Isometric                         in the change in disability, lumbar
                                                                                       strength                          muscle strength and balance
                                                                                                                         ability between groups (P > 0.05).
                                                                                                                         LSEE + HSE group improved
                                                                                                                         disability, lumbar muscle strength
                                                                                                                         and balance ability compared with
                                                                                                                         PTE group (P < 0.05).
Kendall        80         9              37            NSCLBP        LSE + HSE vs      Pain (VAS)           NR           There was no statistical difference         8
et al.24                                                             LSE               Disability (ODI)                  in the change in pain and disability
                                                                                                                         between groups (P > 0.05).
Lee and        69         NR             56.2          CLBP          LSE + HSE vs      Pain (VAS)           NR           There was no statistical difference in      5
Kim12                                                                LSE               Disability (ODI)                  the change in pain between groups
                                                                                                                         (P > 0.05). Mean improvements in
                                                                                                                         ODI were superior in LSE + HSE
                                                                                                                         group (P < 0.05).
Winter24       30         8              44.4          NSCLBP        HSE vs HS         Pain (NPRS)          NR           HSE group was more effective than           5
                                                                                       Disability (ODI)                  HS in improving disability (P < 0.05).

NSCLBP: non-specific chronic low back pain; LSE: lumbopelvic stabilization exercises; HSE: hip strengthening exercise; PTE: physiotherapy exercises; HS: hip stretching;
ODI: Oswestry disability index; NPRS: Numeric Pain Rating Scale; VAS: visual analogue scale; NR: not reported.
                                                                                                                                                                             5
6                                                                                       Clinical Rehabilitation 00(0)

Table 2. Characteristics of the hip strengthening exercise interventions included in this review.

Study              Exercise device      Volume                      Frequency      Time        Length   Supervision
                                                                    (× per week)   (minutes)   (week)
Bade et al.10      Elastic resistance   2 sets of 12–15 reps        7              NR          NR       Yes
Jeong et al.11     NR                   2 sets of 15 reps           NR             NR          6        Yes
Kendall et al.23   NR                   NR                          1              NR          6        NR
Lee and Kim12      Elastic bands        3 sets of 10 reps           3              NR          6        Yes
Winter24           Elastic bands        2 to 3 sets of 10–15 reps   5              NR          6        Yes

Reps: repetitions; NR: not reported.

Figure 2. Specific hip strengthening exercises to conventional rehabilitation therapy group versus conventional
rehabilitation therapy group for pain outcome (100 mm pain scale).

Figure 3. Specific hip strengthening exercises to conventional rehabilitation therapy group versus conventional
rehabilitation therapy group for disability outcome (Oswestry disability index).

patients in the hip strengthening exercise groups              scale, was assessed as being moderate. The quality
that included self-reported disability as an out-              of evidence for the outcome of self-reported disa-
come measure was 133, whereas 136 patients were                bility as measured by the Oswestry disability index,
included in the conventional rehabilitation therapy            was assessed as being low.
group. The meta-analyses revealed a pooled effect
of −3.0 (95% CI: −5.4 to −0.6) in disability reduc-
                                                               Discussion
tion for the hip strengthening exercises group
versus conventional rehabilitation therapy group               Taking into account the small number of eligible
(Figure 3).                                                    studies, this systematic review revealed that the
    The quality of evidence according to the                   addition of specific hip strengthening exercises to
GRADE system is presented in Table 3. The qual-                conventional rehabilitation therapy may be effec-
ity of evidence for the pain outcome, measured by              tive in reducing pain and self-reported disability
the Numeric Pain Rating Scale and visual analogue              compared to conventional exercise therapy in
Arcanjo et al.                                                                                                         7

Table 3. Summary of findings.

Hip strengthening exercises in low back pain
Patient or population: Low back pain
Setting: Clinical rehabilitation
Intervention: Combined hip strengthening exercises to conventional physical therapy
Comparison: Conventional physical therapy
Outcomes Anticipated absolute effects* (95% CI)                     Relative     No. of         Certainty of   Comments
                                                                    effect       participants   the evidence
              Mean in PT           Mean in hip                      (95% CI)     (studies)      (GRADE)
              group                strengthening + PT group
Pain          The mean pain        The mean pain in the             –            209 (3 RCTs) ⨁⨁⨁◯
              was 0                intervention group was                                     MODERATEa
                                   3.53 lower
                                   (6.16 lower to 0.9 lower)
Disability    The mean             The mean disability in the       –            249 (4 RCTs) ⨁⨁◯◯
              disability was 0     intervention group was                                     LOWa,b
                                   2.87 lower
                                   (6.78 lower to 1.04 higher)
*The risk in the intervention group (and its 95% confidence interval) is based on the assumed risk in the
comparison group and the relative effect of the intervention (and its 95% CI).
CI: confidence interval; MD: mean difference.
GRADE Working Group grades of evidence
High certainty: We are very confident that the true effect lies close to that of the estimate of the effect.
Moderate certainty: We are moderately confident in the effect estimate: The true effect is likely to be close to the
estimate of the effect, but there is a possibility that it is substantially different.
Low certainty: Our confidence in the effect estimate is limited: The true effect may be substantially different from
the estimate of the effect.
Very low certainty: We have very little confidence in the effect estimate: The true effect is likely to be substantially
different from the estimate of effect.
a
 Studies without allocation concealment, random allocation and/or sample size calculation.
b
 Meta-analysis with statistical significance in heterogeneity test and high I2.

persons with low back pain. These findings add to                  addition of hip strengthening to conventional reha-
the growing body of literature indicating that vari-               bilitation resulted, on average, in a 12.1 decrease is
ous exercise interventions are beneficial for persons              the Oswestry index disability score. This finding is
with low back pain. Furthermore, our findings are                  relevant as Maughan and Lewis28 reported that an
in agreement with two previous systematic reviews                  8-point change in the Oswestry index represents
that investigated the influence of hip strengthening               the minimal clinically important difference.28
exercises on pain and disability in patients with                      Despite the positive findings of the studies
other musculoskeletal conditions.25,26                             evaluated, the results of this systematic review are
   The minimally clinically important change in                    limited by the lack of high-quality and large sam-
pain using the visual analogue scale for persons                   ple studies. In addition, the quality of evidence for
with low back pain population has been reported to                 the outcomes pain and disability were determined
be 20%.27 Analyzing the results of each study indi-                to be moderate and low, respectively. For example,
vidually, the addition of specific hip strengthening               statistically significant heterogeneity was identi-
exercises to conventional rehabilitation therapy                   fied among the included studies. Substantial heter-
was effective in reducing pain by more than 25%                    ogeneity (I2 = 53%) was identified in the analysis of
for each of the studies evaluated. Similarly, the                  the disability outcome. In addition, patients and
8                                                                                    Clinical Rehabilitation 00(0)

therapists were not blinded in any of the included        reported findings. First, we did not search for
studies and assessors were blinded in only one of         unpublished articles, which can lead to selection/
the studies evaluated.23 Most of the studies evalu-       publication bias. Pain and function were the only
ated (80%) failed to report the method for con-           outcomes evaluated in this review, which may have
cealed allocation. Intention-to-treat analysis was        resulted in an outcome bias. For example, four out
reported only for one study.23                            of the five studies included in the current system-
    There was considerable variation in the exercise      atic review did not evaluate any physical outcome
parameters of the studies included in the present         measures such as functional tests, strength, biome-
review. In general, hip strengthening exercises           chanical measures (kinetics and kinematics), or
focussed only on the abductors and extensors and          biopsychosocial questionnaires. Finally, evaluator
external rotators, while in the study conducted by        bias cannot be discounted in such studies. In addi-
Lee and Kim targeted all hip muscle groups                tion, no systematic review protocol was found to
(included the flexors and adductors).12 Furthermore,      be registered prior to this systematic review. To
the hip strengthening exercise protocols employed         minimize bias however, we followed strict meth-
frequencies that ranged from one to seven times           odological parameters in accordance with Cochrane
per week.                                                 recommendations17 and PRISMA guidelines.16 It is
    Included studies also varied in terms of exercise     important to note that the quality of evidence for the
volume (sets and repetitions). The lack of a struc-       outcome disability was determined to be low. Thus,
tured exercise programme without adequate con-            our results should be viewed in light of the consid-
trol of intensity, volume and frequency may impact        erable variation in the exercise programme, and of
the potential benefits resulting from strengthening       the small number of included studies, although this
exercises.29,30 It is important to note that one of the   ultimately reflects the body of evidence about addi-
studies that reported superior improvements with          tion of specific hip strengthening exercises and rel-
the addition of hip strengthening exercises also          evant outcomes for persons with low back pain.
included mobilization techniques to improve hip           Large, high quality randomized trials are needed to
range of motion.10 Thus, the superior improve-            full assess the effectiveness of hip strengthening
ments in pain and disability reported in the Bade         for low back pain. In addition, comparative studies
et al. study cannot be attributed only to the addition
                                                          are needed to determine the best type of exercise
of hip strengthening exercises.
                                                          intervention for low back pain.
    Strengthening exercises are a safe and low-
                                                              Taking in account the available studies, the
cost intervention to improve low back pain and
                                                          addition of specific hip strengthening exercises to
disability.31 Despite the positive effects of exercise
                                                          conventional rehabilitation therapy may be benefi-
interventions for persons with low back pain, the
                                                          cial for improving pain and disability in persons
best type of exercise programme remains unclear.
                                                          with low back pain.
Although the mechanism by which hip strengthen-
ing is effective as an intervention for low back pain
                                                             Clinical message
is not known, we postulate that the gluteal muscles
provide pelvis stability, which in turn provides a          •• The addition of specific hip strengthening
stable base for spine function (especially during              exercises to conventional rehabilitation
single limb tasks). As such, hip strengthening may             therapy may be effective in reducing pain
be an important adjunct to trunk muscle strength               and disability in persons with low back
training which well supported for persons with low             pain.
back pain.8
    Apart from the methodological limitations iden-       Declaration of conflicting interests
tified for the studies included in the current system-    The author(s) declared no potential conflicts of interest
atic review, there are limitations of our approach        with respect to the research, authorship and/or publica-
that should be considered when interpreting the           tion of this article.
Arcanjo et al.                                                                                                                  9

Funding                                                                with low-back pain – a randomized controlled trial. J Eval
                                                                       Clin Pract 2017; 23(4): 734–740.
The author(s) received no financial support for the              11.   Jeong UC, Sim JH, Kim CY, et al. The effects of glu-
research, authorship and/or publication of this article.               teus muscle strengthening exercise and lumbar stabiliza-
                                                                       tion exercise on lumbar muscle strength and balance in
ORCID iDs                                                              chronic low back pain patients. J Phys Ther Sci 2015;
                                                                       27(12): 3813–3816.
Thiago Yukio Fukuda      https://orcid.org/0000-0001             12.   Lee SW and Kim SY. Effects of hip exercises for chronic
-9286-1518                                                             low-back pain patients with lumbar instability. J Phys
Janice Guimarães   https://orcid.org/0000-0001-5996                    Ther Sci 2015; 27(2): 345–348.
-6641                                                            13.   Popovich JM Jr and Kulig K. Lumbopelvic landing kin-
Mansueto Gomes-Neto      https://orcid.org/0000-0002                   ematics and EMG in women with contrasting hip strength.
-0717-9694                                                             Med Sci Sports Exerc 2012; 44(1): 146–153.
                                                                 14.   Avman MA, Osmotherly PG, Snodgrass S, et al. Is there
                                                                       an association between hip range of motion and nonspe-
Supplemental material                                                  cific low back pain? A systematic review. Musculoskelet
Supplemental material for this article is available online.            Sci Pract 2019; 42: 38–51.
                                                                 15.   Souza CS, Jesus FLA, Machado MB, et al. Lower limb
                                                                       muscle strength in patients with low back pain: a system-
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